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Confined acoustic phonons in a free‐standing quantum well and their interaction with electrons
Author(s) -
Bannov N.,
Mitin V.,
Stroscio M.
Publication year - 1994
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/pssb.2221830109
Subject(s) - phonon , isotropy , physics , electron , condensed matter physics , piezoelectricity , quantum , formalism (music) , quantum mechanics , acoustics , art , musical , visual arts
The Lagrangian of an isotropic continuous medium and Lagrangian formalism are used to consistently derive acoustic eigenmodes, to normalize them, and to determine the acoustic phonons (confined acoustic phonons) in a free‐standing quantum well. These phonons may be classified as shear, dilatational, and flexural phonons in accordance with the acoustic terminology for eigenmodes. The Hamiltonians describing interactions of the confined acoustic phonons with electrons in the approximations of the deformation potential and the piezoelectric scattering potential are obtained and analyzed.